关键词: 多重耦合, 二元树, 聚合度, 设计模型分解, 综合耦合度矩阵

Abstract: To raise the clustering degree after design decomposition, and then increase design efficiency of complex products, a design decomposition method based on clustering with multiple couplings is proposed. The matrix of synthetic coupling degrees (MSCD), which includes couplings between variables and functions, couplings among variables, and couplings among functions, is created based on sensitivity analysis and couplings characteristics analysis to reflect amounts of coupling degrees. Initial clustering of variables and functions are accomplished through dimensional reduction of MSCD and structure of coupling binary tree. Clustering of aggregations of variables and functions are accomplished through comparison of coupling degrees among branches of the binary tree. The design model is decomposed to reach the greatest clustering degrees. The packing and turbo expander in large scale air separation equipment are taken as examples to verify the effectiveness of the approach.

Key words: Binary tree, Clustering degree, Design model decomposition, Multiple couple, Synthetic coupling degree matrix